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Finding the Fourth Proportional to 21,448, 29,599.86 and 13,066.12

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Solution

The fourth proportional to 21,448, 29,599.86 and 13,066.12 is: 18,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448 : 29,599.86 = 13,066.12 : x
  2. Step 2: Convert to fraction form
    21,448/29,599.86 = 13,066.12/x
  3. Step 3: Cross multiply
    21,448x = 29,599.86 × 13,066.12
  4. Step 4: Simplify right side
    21,448x = 386,755,322.74
  5. Step 5: Solve for x
    x = 386,755,322.74/21,448
  6. Step 6: Final answer
    x = 18,032.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.